101320202103012 has 144 divisors (see below), whose sum is σ = 274580193888000. Its totient is φ = 31405813242048.

The previous prime is 101320202102989. The next prime is 101320202103041. The reversal of 101320202103012 is 210301202023101.

101320202103012 is a `hidden beast` number, since 1 + 0 + 1 + 320 + 20 + 21 + 0 + 301 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24689703 + ... + 28499505.

It is an arithmetic number, because the mean of its divisors is an integer number (1906806902000).

Almost surely, 2^{101320202103012} is an apocalyptic number.

101320202103012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101320202103012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137290096944000).

101320202103012 is an abundant number, since it is smaller than the sum of its proper divisors (173259991784988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101320202103012 is a wasteful number, since it uses less digits than its factorization.

101320202103012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810550 (or 3810545 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101320202103012 its reverse (210301202023101), we get a palindrome (311621404126113).

The spelling of 101320202103012 in words is "one hundred one trillion, three hundred twenty billion, two hundred two million, one hundred three thousand, twelve".